Finding the Third Proportional to 80,570 and 174,100

Step by Step Solution

1. Step 1: Write the proportion equation
   80,570 : 174,100 = 174,100 : x
2. Step 2: Convert to fraction form
   80,570/174,100 = 174,100/x
3. Step 3: Cross multiply
   80,570x = 174,100 × 174,100
4. Step 4: Simplify right side
   80,570x = 30,310,810,000
5. Step 5: Solve for x
   x = 30,310,810,000/80,570
6. Step 6: Final answer
   x = 376,204.67